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i-Josephson Junction as Topological Superconductor

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arxiv 1801.08689 v2 pith:VEZBMNGQ submitted 2018-01-26 cond-mat.mes-hall cond-mat.supr-con

i-Josephson Junction as Topological Superconductor

Zhesen Yang , Shengshan Qin , Qiang Zhang , Chen Fang , Jiangping Hu This is my paper
classification cond-mat.mes-hall cond-mat.supr-con
keywords junctioni-josephsonjosephsoncouplingreversalsuperconductingsuperconductivitysymmetry
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that the time reversal symmetry inevitably breaks in a superconducting Josephson junction formed by two superconductors with different pairing symmetries dubbed as i-Josephson junction. While the leading conventional Josephson coupling vanishes in such an i-Josephson junction, the second order coupling from tunneling always generates chiral superconductivity orders with broken time reversal symmetry. Josephson frequency in the i-junction is doubled, namely $\omega = 4eV /h$. The result provides a way to engineer topological superconductivity such as the d + id' -wave superconducting state characterized by a nonzero Chern number.

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